Measure and integration : publications 1997-2011
This volume presents a collection of twenty-five of Heinz König s recent and most influential works. Connecting to his book of 1997 Measure and Integration , the author has developed a consistent new version of measure theory over the past years. For the first time, his publications are collected he...
Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Rhifyn: | 1st ed. 2012. |
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nodyn: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Measure and integration, publications, 1997-2011, by Heinz König, 2012, Basel, Springer, 1 vol. (508 p.), 978-3-03-480381-6 |
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| 041 | 0 | |a eng | |
| 082 | |a 515.42 | ||
| 100 | 1 | |a König, Heinz, |d 1929- | |
| 245 | 1 | 0 | |a Measure and integration : |b publications 1997-2011 |c by Heinz König. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Image measures and the so-called image measure catastrophe The product theory for inner premeasures Measure and Integration: Mutual generation of outer and inner premeasures Measure and Integration: Integral representations of isotone functionals Measure and Integration: Comparison of old and new procedures What are signed contents and measures?- Upper envelopes of inner premeasures On the inner Daniell-Stone and Riesz representation theorems Sublinear functionals and conical measures Measure and Integration: An attempt at unified systematization New facts around the Choquet integral The (sub/super)additivity assertion of Choquet Projective limits via inner premeasures and the trueWiener measure Stochastic processes in terms of inner premeasures New versions of the Radon-Nikodým theorem The Lebesgue decomposition theorem for arbitrary contents The new maximal measures for stochastic processes Stochastic processes on the basis of new measure theory New versions of the Daniell-Stone-Riesz representation theorem Measure and Integral: New foundations after one hundred years Fubini-Tonelli theorems on the basis of inner and outer premeasures Measure and Integration: Characterization of the new maximal contents and measures Notes on the projective limit theorem of Kolmogorov Measure and Integration: The basic extension theorems Measure Theory: Transplantation theorems for inner premeasures. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This volume presents a collection of twenty-five of Heinz König s recent and most influential works. Connecting to his book of 1997 Measure and Integration , the author has developed a consistent new version of measure theory over the past years. For the first time, his publications are collected here in one single volume.Key features include:- A first-time, original and entirely uniform treatment of abstract and topological measure theory- The introduction of the inner and outer premeasures and their extension to unique maximal measures- A simplification of the procedure formerly described in Chapter II of the author s previous book - The creation of new envelopes for the initial set function (to replace the traditional Carathéodory outer measures), which lead to much simpler and more explicit treatment- The formation of products, a unified Daniell-Stone-Riesz representation theorem, and projective limits, which allows to obtain the Kolmogorov type projective limit theorem for even huge domains far beyond the countably determined ones- The incorporation of non-sequential and of inner regular versions, which leads to much more comprehensive results- Significant applications to stochastic processes. Measure and Integration: Publications 1997 2011 will appeal to both researchers and advanced graduate students in the fields of measure and integration and probabilistic measure theory | ||
| 776 | 0 | |0 165574178 |t Measure and integration |o publications, 1997-2011 |f by Heinz König |d 2012 |c Basel |n Springer |p 1 vol. (508 p.) |z 978-3-03-480381-6 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-VZ5L0DKB-N |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:749582111 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-0348-0382-3 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:752330616 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-0348-0382-3 |z Accès INSA CVL | |
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